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Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator

A. Venkatesan·M. Lakshmanan·A. Prasad·R. Ramaswamy
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Abstract

Different mechanisms for the creation of strange nonchaotic attractors (SNAs) are studied in a two-frequency parametrically driven Duffing oscillator. We focus on intermittency transitions in particular, and show that SNAs in this system are created through quasiperiodic saddle-node bifurcations (Type-I intermittency) as well as through a quasiperiodic subharmonic bifurcation (Type-III intermittency). The intermittent attractors are characterized via a number of Lyapunov measures including the behavior of the largest nontrivial Lyapunov exponent and its variance as well as through distributions of finite-time Lyapunov exponents. These attractors are ubiquitous in quasiperiodically driven systems; the regions of occurrence of various SNAs are identified in a phase diagram of the Duffing system.

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A. Venkatesan, M. Lakshmanan, A. Prasad, R. Ramaswamy. 2000-12-11. Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator. https://doi.org/10.1103/physreve.61.3641

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